A277475 E.g.f.: -sin(x)*LambertW(-x).

0, 0, 2, 6, 32, 300, 3576, 52234, 906688, 18229176, 416505760, 10657541422, 301871501568, 9375794555556, 316817746172032, 11570642333807730, 454152692297009152, 19064517871187079408, 852278820775206658560, 40424330665968520135382, 2027524052626732381306880

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..385

Formula

a(n) ~ sin(exp(-1)) * n^(n-1).

Mathematica

CoefficientList[Series[-Sin[x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!
Table[Sum[Binomial[n, k] * Sin[Pi*(n-k)/2] * k^(k-1), {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 28 2016 *)

Prog

(PARI) x='x+O('x^50); concat([0, 0], Vec(serlaplace(-sin(x)*lambertw(-x)) )) \\ G. C. Greubel, Nov 07 2017

Crossrefs

Cf. A000169, A277461, A277473, A277476, A277477.

Sequence in context: A088437 A191691 A191712 * A277484 A005736 A354847

Adjacent sequences: A277472 A277473 A277474 * A277476 A277477 A277478

Keyword

nonn

Author

Vaclav Kotesovec, Oct 17 2016

Status

approved